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Complex Analysis: Properties of Line Integrals

  1. Oct 12, 2011 #1
    1. The problem statement, all variables and given/known data

    Demonstrate that [tex]\int_{-\gamma} f(z)|dz|=\int_{\gamma} f(z)|dz|[/tex] where [tex]\gamma[/tex] is a piecewise smooth path and f is a function that is continuous on [tex]|\gamma|[/tex].

    2. Relevant equations

    3. The attempt at a solution

    This proof seems like it should be very simple, but I am not sure it is really saying that it's just turning a path around to go in the opposite direction. Could someone please help me out? Thanks.
  2. jcsd
  3. Oct 13, 2011 #2


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    Consider the substitution u= -z.
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